Torus fibrations and localization of index I

zbMath1248.53075arXiv0804.3258MaRDI QIDQ2902435

Hajime Fujita, Takahiko Yoshida, Mikio Furuta

Publication date: 20 August 2012

Full work available at URL: https://arxiv.org/abs/0804.3258

zbMATH Keywords

localizationindex theorycompletely integrable systemRiemann-Roch numberWitten's deformationBohr-Sommerfeld fibersopen asymplectic manifold

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Index theory and related fixed-point theorems on manifolds (58J20) Geometric quantization (53D50)

Related Items (6)

A Danilov-type formula for toric origami manifolds via localization of index ⋮ Deformation of Dirac operators along orbits and quantization of noncompact Hamiltonian torus manifolds ⋮ RR-BS correspondence—a localization phenomenon of the index in geometric quantization ⋮ Torus fibrations and localization of index. II. Local index for acyclic compatible system ⋮ Torus fibrations and localization of index. III: Equivariant version and its applications ⋮ Cobordism invariance and the well-definedness of local index

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